Which two Americans are known for their mutual rivalry that led to each other's ruin, as detailed in the book "Duel"?

The relationship between Aaron Burr and Alexander Hamilton is characterized by a significant rivalry that culminated in a famous duel, ultimately leading to Hamilton's death and Burr's political downfall. This conflict stemmed from various political and personal grievances, particularly around the differing visions each had for America and their contest for power.

Hamilton, a leading Federalist, and Burr, a member of the Democratic-Republican party, held opposing views during a transformative period in American history. Their contentious interactions played out through political campaigns and personal disputes, which created a deep animosity between them. The situation escalated to a duel in 1804 when Hamilton, who had publicly criticized Burr, was confronted by him over honor and reputation. The duel led to Hamilton's fatal wound, which severely tarnished Burr's standing in public life and led to his eventual political decline.

This narrative highlights how personal rivalries in early American politics could have disastrous consequences, emphasizing the high stakes of political power and personal honor during that era.